More than 100 firefighters, five air tankers and four helicopters battled the blaze that erupted shortly after 2 p.m. near Benton Way and Crams Corner Drive.
Crews with the U.S. Forest Service, Riverside County Fire Emergency Management Department and Cal Fire San Diego were able to stop the fire's forward progress around 5 p.m., according to fire officials.
There have been no reports of injuries or threatened structures.
Anza is about halfway between Temecula and Palm Desert.
DEVELOPING: We will add more details to this report as they become available.
The City News Service contributed to this report.